0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.23 % Computer : n025.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:57:55 CDT 2018 0.03/0.23 % CPUTime : 0.07/0.32 % dis+11_4_afr=on:afp=1000:afq=1.4:amm=off:anc=none:lcm=reverse:lma=on:lwlo=on:nm=6:newcnf=on:nwc=1:sd=2:ss=axioms:st=2.0:sp=reverse_arity_3 on theBenchmark 0.75/0.92 % Time limit reached! 0.75/0.92 % ------------------------------ 0.75/0.92 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.75/0.92 % Termination reason: Time limit 0.75/0.92 % Termination phase: Saturation 0.75/0.92 0.75/0.92 % Memory used [KB]: 21620 0.75/0.92 % Time elapsed: 0.600 s 0.75/0.92 % ------------------------------ 0.75/0.92 % ------------------------------ 0.75/0.96 % dis+1011_10_aac=none:add=large:afp=10000:afq=1.1:amm=off:anc=none:fsr=off:gs=on:gsem=off:irw=on:nm=6:newcnf=on:nwc=2.5:sp=reverse_arity:updr=off_3 on theBenchmark 1.34/1.56 % Time limit reached! 1.34/1.56 % ------------------------------ 1.34/1.56 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.34/1.56 % Termination reason: Time limit 1.34/1.56 % Termination phase: Saturation 1.34/1.56 1.34/1.56 % Memory used [KB]: 32366 1.34/1.56 % Time elapsed: 0.600 s 1.34/1.56 % ------------------------------ 1.34/1.56 % ------------------------------ 1.34/1.59 % ott+11_2:1_add=large:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_3 on theBenchmark 1.93/2.19 % Time limit reached! 1.93/2.19 % ------------------------------ 1.93/2.19 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.93/2.19 % Termination reason: Time limit 1.93/2.19 % Termination phase: Saturation 1.93/2.19 1.93/2.19 % Memory used [KB]: 22515 1.93/2.19 % Time elapsed: 0.600 s 1.93/2.19 % ------------------------------ 1.93/2.19 % ------------------------------ 2.02/2.23 % ott+4_40_av=off:bce=on:cond=fast:fde=none:nm=0:nwc=1:sos=all:updr=off_2 on theBenchmark 2.52/2.73 % Time limit reached! 2.52/2.73 % ------------------------------ 2.52/2.73 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.52/2.73 % Termination reason: Time limit 2.52/2.73 % Termination phase: Saturation 2.52/2.73 2.52/2.73 % Memory used [KB]: 13048 2.52/2.73 % Time elapsed: 0.500 s 2.52/2.73 % ------------------------------ 2.52/2.73 % ------------------------------ 2.52/2.76 % dis+11_10_av=off:lma=on:nm=64:nwc=5:sp=reverse_arity_3 on theBenchmark 3.13/3.36 % Time limit reached! 3.13/3.36 % ------------------------------ 3.13/3.36 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.13/3.36 % Termination reason: Time limit 3.13/3.36 % Termination phase: Saturation 3.13/3.36 3.13/3.36 % Memory used [KB]: 17142 3.13/3.36 % Time elapsed: 0.600 s 3.13/3.36 % ------------------------------ 3.13/3.36 % ------------------------------ 3.13/3.40 % lrs+1011_3:2_aac=none:afp=10000:afq=1.2:amm=off:anc=all:cond=on:fde=none:gs=on:gsem=on:irw=on:lma=on:nm=32:newcnf=on:nwc=3:nicw=on:stl=30:sac=on:sp=reverse_arity:urr=ec_only:updr=off:uhcvi=on_21 on theBenchmark 6.13/6.30 % Time limit reached! 6.13/6.30 % ------------------------------ 6.13/6.30 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 6.13/6.30 % Termination reason: Time limit 6.13/6.30 % Termination phase: Saturation 6.13/6.30 6.13/6.30 % Memory used [KB]: 162342 6.13/6.30 % Time elapsed: 2.900 s 6.13/6.30 % ------------------------------ 6.13/6.30 % ------------------------------ 6.13/6.34 % lrs+2_3:1_afp=1000:afq=2.0:amm=off:anc=none:bs=unit_only:bsr=on:cond=on:gs=on:gsem=off:irw=on:lcm=predicate:lma=on:nm=6:newcnf=on:nwc=1:nicw=on:sas=z3:stl=30:sd=2:ss=axioms:sac=on:sp=reverse_arity:urr=ec_only:updr=off_3 on theBenchmark 6.73/6.94 % Time limit reached! 6.73/6.94 % ------------------------------ 6.73/6.94 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 6.73/6.94 % Termination reason: Time limit 6.73/6.94 % Termination phase: Saturation 6.73/6.94 6.73/6.94 % Memory used [KB]: 20340 6.73/6.94 % Time elapsed: 0.600 s 6.73/6.94 % ------------------------------ 6.73/6.94 % ------------------------------ 6.73/6.98 % dis+11_5_afp=40000:afq=1.4:anc=none:br=off:cond=on:fsr=off:irw=on:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=2.0:urr=on:updr=off_6 on theBenchmark 7.76/7.98 % Time limit reached! 7.76/7.98 % ------------------------------ 7.76/7.98 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 7.76/7.98 % Termination reason: Time limit 7.76/7.98 % Termination phase: Saturation 7.76/7.98 7.76/7.98 % Memory used [KB]: 44135 7.76/7.98 % Time elapsed: 1.0000 s 7.76/7.98 % ------------------------------ 7.76/7.98 % ------------------------------ 7.84/8.01 % dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_3 on theBenchmark 8.46/8.61 % Time limit reached! 8.46/8.61 % ------------------------------ 8.46/8.61 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 8.46/8.61 % Termination reason: Time limit 8.46/8.61 % Termination phase: Saturation 8.46/8.61 8.46/8.61 % Memory used [KB]: 27376 8.46/8.61 % Time elapsed: 0.600 s 8.46/8.61 % ------------------------------ 8.46/8.61 % ------------------------------ 8.46/8.65 % ott+1002_128_av=off:bd=off:bs=on:bsr=on:cond=on:fsr=off:nm=6:newcnf=on:nwc=1:sp=reverse_arity:updr=off_10 on theBenchmark 9.95/10.15 % Time limit reached! 9.95/10.15 % ------------------------------ 9.95/10.15 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 9.95/10.15 % Termination reason: Time limit 9.95/10.15 % Termination phase: Saturation 9.95/10.15 9.95/10.15 % Memory used [KB]: 16119 9.95/10.15 % Time elapsed: 1.500 s 9.95/10.15 % ------------------------------ 9.95/10.15 % ------------------------------ 9.95/10.18 % lrs-11_8_afr=on:afp=100000:afq=2.0:anc=none:bd=off:cond=on:gs=on:lma=on:nm=2:newcnf=on:nwc=3:stl=30:sac=on:sp=occurrence_19 on theBenchmark 12.57/12.78 % Time limit reached! 12.57/12.78 % ------------------------------ 12.57/12.78 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 12.57/12.78 % Termination reason: Time limit 12.57/12.78 % Termination phase: Saturation 12.57/12.78 12.57/12.78 % Memory used [KB]: 51683 12.57/12.78 % Time elapsed: 2.600 s 12.57/12.78 % ------------------------------ 12.57/12.78 % ------------------------------ 12.66/12.82 % lrs+1002_8_add=large:afp=40000:afq=1.0:amm=off:anc=none:cond=on:gs=on:irw=on:nm=16:newcnf=on:nwc=1:stl=30:sos=on:sp=reverse_arity:updr=off_6 on theBenchmark 13.67/13.82 % Time limit reached! 13.67/13.82 % ------------------------------ 13.67/13.82 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.67/13.82 % Termination reason: Time limit 13.67/13.82 % Termination phase: Saturation 13.67/13.82 13.67/13.82 % Memory used [KB]: 33901 13.67/13.82 % Time elapsed: 1.0000 s 13.67/13.82 % ------------------------------ 13.67/13.82 % ------------------------------ 13.67/13.86 % lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_4 on theBenchmark 14.46/14.66 % Time limit reached! 14.46/14.66 % ------------------------------ 14.46/14.66 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 14.46/14.66 % Termination reason: Time limit 14.46/14.66 % Termination phase: Saturation 14.46/14.66 14.46/14.66 % Memory used [KB]: 20084 14.46/14.66 % Time elapsed: 0.800 s 14.46/14.66 % ------------------------------ 14.46/14.66 % ------------------------------ 14.53/14.69 % lrs+1011_7_afp=100000:afq=1.0:amm=sco:anc=all_dependent:bs=unit_only:bsr=on:ep=RS:fde=none:gsp=input_only:gs=on:gsem=off:lwlo=on:nm=4:nwc=1:stl=120:sos=theory:sp=occurrence:uhcvi=on_17 on theBenchmark 16.87/17.09 % Time limit reached! 16.87/17.09 % ------------------------------ 16.87/17.09 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 16.87/17.09 % Termination reason: Time limit 16.87/17.09 % Termination phase: Saturation 16.87/17.09 16.87/17.09 % Memory used [KB]: 49380 16.87/17.09 % Time elapsed: 2.400 s 16.87/17.09 % ------------------------------ 16.87/17.09 % ------------------------------ 16.98/17.13 % dis+10_128_acc=on:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:bce=on:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark 16.98/17.18 % Refutation not found, incomplete strategy 16.98/17.18 % ------------------------------ 16.98/17.18 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 16.98/17.18 % Termination reason: Refutation not found, incomplete strategy 16.98/17.18 16.98/17.18 % Memory used [KB]: 14967 16.98/17.18 % Time elapsed: 0.055 s 16.98/17.18 % ------------------------------ 16.98/17.18 % ------------------------------ 17.09/17.22 % ott+1_8_av=off:bd=off:bs=on:cond=on:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:lwlo=on:nwc=1:sos=on_10 on theBenchmark 17.09/17.25 % Refutation not found, incomplete strategy 17.09/17.25 % ------------------------------ 17.09/17.25 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 17.09/17.25 % Termination reason: Refutation not found, incomplete strategy 17.09/17.25 17.09/17.25 % Memory used [KB]: 9338 17.09/17.25 % Time elapsed: 0.033 s 17.09/17.25 % ------------------------------ 17.09/17.25 % ------------------------------ 17.09/17.29 % ins+11_8_av=off:cond=fast:fde=none:gsp=input_only:irw=on:igbrr=0.2:igpr=on:igrr=1/8:igrp=200:igrpq=1.1:igs=1010:igwr=on:lcm=predicate:lma=on:nm=4:nwc=1:sd=2:ss=axioms:st=5.0:sos=on:sp=occurrence:uhcvi=on_3 on theBenchmark 17.70/17.88 % Time limit reached! 17.70/17.88 % ------------------------------ 17.70/17.88 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 17.70/17.88 % Termination reason: Time limit 17.70/17.88 % Termination phase: Saturation 17.70/17.88 17.70/17.88 % Memory used [KB]: 24562 17.70/17.88 % Time elapsed: 0.600 s 17.70/17.88 % ------------------------------ 17.70/17.88 % ------------------------------ 17.78/17.92 % lrs+10_2:3_afp=1000:afq=1.1:amm=sco:anc=none:er=known:lcm=reverse:lwlo=on:nm=64:newcnf=on:nwc=2:stl=30:sd=5:ss=axioms:sos=theory:sac=on:sp=occurrence_271 on theBenchmark 53.33/53.32 % Time limit reached! 53.33/53.32 % ------------------------------ 53.33/53.32 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 53.33/53.32 % Termination reason: Time limit 53.33/53.32 % Termination phase: Saturation 53.33/53.32 53.33/53.32 % Memory used [KB]: 227586 53.33/53.32 % Time elapsed: 35.400 s 53.33/53.32 % ------------------------------ 53.33/53.32 % ------------------------------ 53.33/53.37 % dis+11_5_av=off:bd=off:bs=unit_only:bsr=on:cond=on:lcm=reverse:nm=0:nwc=1.2_5 on theBenchmark 54.24/54.24 % Time limit reached! 54.24/54.24 % ------------------------------ 54.24/54.24 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 54.24/54.24 % Termination reason: Time limit 54.24/54.24 % Termination phase: Saturation 54.24/54.24 54.24/54.24 % Memory used [KB]: 22003 54.24/54.24 % Time elapsed: 0.900 s 54.24/54.24 % ------------------------------ 54.24/54.24 % ------------------------------ 54.24/54.28 % ott-1_3:1_av=off:irw=on:lcm=reverse:lma=on:nm=6:newcnf=on:nwc=1.2:sd=3:ss=axioms:st=3.0:sp=reverse_arity_20 on theBenchmark 57.07/57.06 % Time limit reached! 57.07/57.06 % ------------------------------ 57.07/57.06 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 57.07/57.06 % Termination reason: Time limit 57.07/57.06 % Termination phase: Saturation 57.07/57.06 57.07/57.06 % Memory used [KB]: 52451 57.07/57.06 % Time elapsed: 2.800 s 57.07/57.06 % ------------------------------ 57.07/57.06 % ------------------------------ 57.13/57.10 % lrs+1011_3:2_av=off:er=known:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=2:ss=axioms:st=3.0:urr=on:updr=off_5 on theBenchmark 57.96/57.97 % Time limit reached! 57.96/57.97 % ------------------------------ 57.96/57.97 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 57.96/57.97 % Termination reason: Time limit 57.96/57.97 % Termination phase: Saturation 57.96/57.97 57.96/57.97 % Memory used [KB]: 29167 57.96/57.97 % Time elapsed: 0.900 s 57.96/57.97 % ------------------------------ 57.96/57.97 % ------------------------------ 58.04/58.01 % lrs-10_3:2_add=large:afp=100000:afq=1.2:amm=sco:anc=none:cond=fast:ep=RST:fsr=off:fde=unused:gsp=input_only:gs=on:gsem=on:lma=on:nm=16:nwc=1.3:stl=30:sd=2:ss=axioms:st=5.0:sos=on:uhcvi=on_2 on theBenchmark 58.05/58.49 % Time limit reached! 58.05/58.49 % ------------------------------ 58.05/58.49 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 58.05/58.49 % Termination reason: Time limit 58.05/58.49 % Termination phase: Saturation 58.05/58.49 58.05/58.49 % Memory used [KB]: 27504 58.05/58.49 % Time elapsed: 0.500 s 58.05/58.49 % ------------------------------ 58.05/58.49 % ------------------------------ 58.57/58.52 % dis-3_5_av=off:cond=on:gs=on:gsem=off:lcm=predicate:nm=0:nwc=1:sos=on:sp=reverse_arity_3 on theBenchmark 58.57/58.57 % Refutation not found, incomplete strategy 58.57/58.57 % ------------------------------ 58.57/58.57 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 58.57/58.57 % Termination reason: Refutation not found, incomplete strategy 58.57/58.57 58.57/58.57 % Memory used [KB]: 10106 58.57/58.57 % Time elapsed: 0.066 s 58.57/58.57 % ------------------------------ 58.57/58.57 % ------------------------------ 58.65/58.60 % lrs+1011_3:1_av=off:cond=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sos=all:updr=off_51 on theBenchmark 65.39/65.38 % Time limit reached! 65.39/65.38 % ------------------------------ 65.39/65.38 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 65.39/65.38 % Termination reason: Time limit 65.39/65.38 % Termination phase: Saturation 65.39/65.38 65.39/65.38 % Memory used [KB]: 23155 65.39/65.38 % Time elapsed: 6.800 s 65.39/65.38 % ------------------------------ 65.39/65.38 % ------------------------------ 65.48/65.42 % lrs+1011_4:1_av=off:fsr=off:irw=on:nwc=1:stl=30:sd=4:ss=axioms:st=1.5:sp=reverse_arity_12 on theBenchmark 67.09/67.09 % Time limit reached! 67.09/67.09 % ------------------------------ 67.09/67.09 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 67.09/67.09 % Termination reason: Time limit 67.09/67.09 % Termination phase: Saturation 67.09/67.09 67.09/67.09 % Memory used [KB]: 33389 67.09/67.09 % Time elapsed: 1.700 s 67.09/67.09 % ------------------------------ 67.09/67.09 % ------------------------------ 67.19/67.13 % dis+1010_2:3_afr=on:afp=40000:afq=1.4:amm=off:anc=none:lma=on:nm=16:nwc=1:sp=occurrence:updr=off:uhcvi=on_27 on theBenchmark 70.92/70.83 % Time limit reached! 70.92/70.83 % ------------------------------ 70.92/70.83 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 70.92/70.83 % Termination reason: Time limit 70.92/70.83 % Termination phase: Saturation 70.92/70.83 70.92/70.83 % Memory used [KB]: 77781 70.92/70.83 % Time elapsed: 3.700 s 70.92/70.83 % ------------------------------ 70.92/70.83 % ------------------------------ 70.92/70.87 % lrs+1011_5:4_acc=on:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_26 on theBenchmark 74.43/74.37 % Time limit reached! 74.43/74.37 % ------------------------------ 74.43/74.37 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 74.43/74.37 % Termination reason: Time limit 74.43/74.37 % Termination phase: Saturation 74.43/74.37 74.43/74.37 % Memory used [KB]: 58080 74.43/74.37 % Time elapsed: 3.500 s 74.43/74.37 % ------------------------------ 74.43/74.37 % ------------------------------ 74.51/74.41 % dis+11_28_av=off:fsr=off:irw=on:lcm=predicate:nm=2:newcnf=on:nwc=5:sp=occurrence:urr=on:updr=off_2 on theBenchmark 75.02/74.91 % Time limit reached! 75.02/74.91 % ------------------------------ 75.02/74.91 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 75.02/74.91 % Termination reason: Time limit 75.02/74.91 % Termination phase: Saturation 75.02/74.91 75.02/74.91 % Memory used [KB]: 21620 75.02/74.91 % Time elapsed: 0.500 s 75.02/74.91 % ------------------------------ 75.02/74.91 % ------------------------------ 75.02/74.94 % dis+1011_24_add=large:afr=on:afp=4000:afq=1.0:anc=none:bs=unit_only:bce=on:cond=fast:gs=on:nm=32:nwc=2.5:nicw=on:sp=occurrence:updr=off_4 on theBenchmark 75.82/75.74 % Time limit reached! 75.82/75.74 % ------------------------------ 75.82/75.74 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 75.82/75.74 % Termination reason: Time limit 75.82/75.74 % Termination phase: Saturation 75.82/75.74 75.82/75.74 % Memory used [KB]: 26737 75.82/75.74 % Time elapsed: 0.800 s 75.82/75.74 % ------------------------------ 75.82/75.74 % ------------------------------ 75.82/75.78 % lrs+1011_2:3_av=off:gs=on:gsem=off:nwc=1.5:stl=30:sos=theory:sp=occurrence:urr=ec_only:updr=off_36 on theBenchmark 80.64/80.58 % Time limit reached! 80.64/80.58 % ------------------------------ 80.64/80.58 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 80.64/80.58 % Termination reason: Time limit 80.64/80.58 % Termination phase: Saturation 80.64/80.58 80.64/80.58 % Memory used [KB]: 106181 80.64/80.58 % Time elapsed: 4.800 s 80.64/80.58 % ------------------------------ 80.64/80.58 % ------------------------------ 80.75/80.62 % dis+1010_4_afp=10000:afq=1.2:anc=none:irw=on:lma=on:nm=64:nwc=10:sas=z3:sac=on:sp=reverse_arity:updr=off_2 on theBenchmark 81.26/81.12 % Time limit reached! 81.26/81.12 % ------------------------------ 81.26/81.12 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 81.26/81.12 % Termination reason: Time limit 81.26/81.12 % Termination phase: Saturation 81.26/81.12 81.26/81.12 % Memory used [KB]: 6140 81.26/81.12 % Time elapsed: 0.500 s 81.26/81.12 % ------------------------------ 81.26/81.12 % ------------------------------ 81.26/81.15 % lrs+1011_14_av=off:fsr=off:irw=on:nwc=1:stl=30:sos=on:sp=occurrence:urr=ec_only:updr=off_53 on theBenchmark 81.36/81.27 % Refutation not found, incomplete strategy 81.36/81.27 % ------------------------------ 81.36/81.27 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 81.36/81.27 % Termination reason: Refutation not found, incomplete strategy 81.36/81.27 81.36/81.27 % Memory used [KB]: 5628 81.36/81.27 % Time elapsed: 0.116 s 81.36/81.27 % ------------------------------ 81.36/81.27 % ------------------------------ 81.45/81.30 % lrs+10_128_acc=model:afp=100000:afq=2.0:anc=all_dependent:bs=on:bsr=on:cond=fast:er=filter:gs=on:gsem=off:lcm=reverse:lma=on:nm=32:nwc=3:stl=30:sac=on:sp=occurrence:urr=ec_only_70 on theBenchmark 90.80/90.60 % Time limit reached! 90.80/90.60 % ------------------------------ 90.80/90.60 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 90.80/90.60 % Termination reason: Time limit 90.80/90.60 % Termination phase: Saturation 90.80/90.60 90.80/90.60 % Memory used [KB]: 84945 90.80/90.60 % Time elapsed: 9.300 s 90.80/90.60 % ------------------------------ 90.80/90.60 % ------------------------------ 90.80/90.64 % lrs+10_6_aac=none:acc=model:add=large:afr=on:afp=10000:afq=1.2:amm=off:anc=none:bd=off:ccuc=small_ones:irw=on:lcm=reverse:nm=0:nwc=1:nicw=on:stl=30:sos=on:sp=reverse_arity:updr=off_2 on theBenchmark 90.80/90.67 % Refutation not found, incomplete strategy 90.80/90.67 % ------------------------------ 90.80/90.67 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 90.80/90.67 % Termination reason: Refutation not found, incomplete strategy 90.80/90.67 90.80/90.67 % Memory used [KB]: 9083 90.80/90.67 % Time elapsed: 0.027 s 90.80/90.67 % ------------------------------ 90.80/90.67 % ------------------------------ 90.80/90.70 % lrs+1_3:2_aac=none:add=large:anc=all_dependent:bce=on:cond=fast:ep=RST:fsr=off:lma=on:nm=2:nwc=1:stl=30:sos=on:sp=occurrence:urr=on:updr=off:uhcvi=on_5 on theBenchmark 91.80/91.60 % Time limit reached! 91.80/91.60 % ------------------------------ 91.80/91.60 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 91.80/91.60 % Termination reason: Time limit 91.80/91.60 % Termination phase: Saturation 91.80/91.60 91.80/91.60 % Memory used [KB]: 69082 91.80/91.60 % Time elapsed: 0.900 s 91.80/91.60 % ------------------------------ 91.80/91.60 % ------------------------------ 91.80/91.64 % lrs+1010_3:2_afr=on:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark 131.06/130.78 % Refutation not found, non-redundant clauses discarded 131.06/130.78 % ------------------------------ 131.06/130.78 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 131.06/130.78 % Termination reason: Refutation not found, non-redundant clauses discarded 131.06/130.78 131.06/130.78 % Memory used [KB]: 280421 131.06/130.78 % Time elapsed: 39.142 s 131.06/130.78 % ------------------------------ 131.06/130.78 % ------------------------------ 131.17/130.83 % lrs+1_4_afp=100000:afq=1.2:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark 137.98/137.62 % Refutation found. Thanks to Tanya! 137.98/137.62 % SZS status Theorem for theBenchmark 137.98/137.62 % SZS output start Proof for theBenchmark 137.98/137.63 fof(f22,axiom,( 137.98/137.63 ! [X17,X2,X5,X6] : (class_Rings_Ocomm__semiring__0(X6) => c_Polynomial_Osmult(X6,X5,c_Polynomial_Osmult(X6,X2,X17)) = c_Polynomial_Osmult(X6,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),X5),X2),X17))), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__smult)). 137.98/137.63 fof(f35,axiom,( 137.98/137.63 ! [X17,X6] : (class_Rings_Ocomm__semiring__0(X6) => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) = c_Polynomial_Osmult(X6,c_Groups_Ozero__class_Ozero(X6),X17))), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__0__left)). 137.98/137.63 fof(f59,axiom,( 137.98/137.63 ! [X17,X5,X6] : (class_Rings_Oidom(X6) => ((c_Groups_Ozero__class_Ozero(X6) = X5 => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X6,c_Polynomial_Osmult(X6,X5,X17))) & (c_Groups_Ozero__class_Ozero(X6) != X5 => c_Polynomial_Odegree(X6,X17) = c_Polynomial_Odegree(X6,c_Polynomial_Osmult(X6,X5,X17)))))), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_degree__smult__eq)). 137.98/137.63 fof(f61,axiom,( 137.98/137.63 ! [X17,X6] : (class_Rings_Ocomm__semiring__1(X6) => c_Polynomial_Osmult(X6,c_Groups_Oone__class_Oone(X6),X17) = X17)), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__1__left)). 137.98/137.63 fof(f167,conjecture,( 137.98/137.63 (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) => ((c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____ => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))) & (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____ => hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))))) & (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) => (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____ => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))))), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)). 137.98/137.63 fof(f168,negated_conjecture,( 137.98/137.63 ~((c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) => ((c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____ => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))) & (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____ => hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))))) & (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) => (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____ => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))))))), 137.98/137.63 inference(negated_conjecture,[],[f167])). 137.98/137.63 fof(f242,axiom,( 137.98/137.63 class_Fields_Ofield(tc_Complex_Ocomplex)), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield)). 137.98/137.63 fof(f361,axiom,( 137.98/137.63 ! [X5,X6] : (class_Rings_Ocomm__semiring__0(X6) => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) = c_Polynomial_Osmult(X6,X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))))), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__0__right)). 137.98/137.63 fof(f502,axiom,( 137.98/137.63 ! [X17,X6] : (class_Groups_Ozero(X6) => ((c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) = X17 => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X6,X17)) & (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) != X17 => hAPP(c_Nat_OSuc,c_Polynomial_Odegree(X6,X17)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X6,X17))))), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_psize__def)). 137.98/137.63 fof(f510,axiom,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pc0)). 137.98/137.63 fof(f750,axiom,( 137.98/137.63 ! [X53,X32,X6] : (class_Rings_Oidom(X6) => ((c_Groups_Ozero__class_Ozero(X6) = X32 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) = X53) <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) = c_Polynomial_Osmult(X6,X32,X53)))), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__eq__0__iff)). 137.98/137.63 fof(f781,axiom,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_a00)). 137.98/137.63 fof(f808,axiom,( 137.98/137.63 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0)). 137.98/137.63 fof(f836,axiom,( 137.98/137.63 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1)). 137.98/137.63 fof(f855,axiom,( 137.98/137.63 ! [X5,X6] : (class_Fields_Ofield(X6) => (c_Groups_Ozero__class_Ozero(X6) != X5 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X6),c_Rings_Oinverse__class_Oinverse(X6,X5)),X5) = c_Groups_Oone__class_Oone(X6)))), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_field__inverse)). 137.98/137.63 fof(f897,axiom,( 137.98/137.63 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pqc0)). 137.98/137.63 fof(f937,axiom,( 137.98/137.63 class_Groups_Ozero(tc_Complex_Ocomplex)), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero)). 137.98/137.63 fof(f975,axiom,( 137.98/137.63 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____)), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_q_I1_J)). 137.98/137.63 fof(f1063,axiom,( 137.98/137.63 class_Rings_Oidom(tc_Complex_Ocomplex)), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom)). 137.98/137.63 fof(f1180,axiom,( 137.98/137.63 ! [X53,X6] : (class_Groups_Ozero(X6) => c_Polynomial_Odegree(X6,X53) = c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,X6,tc_HOL_Obool,hAPP(c_COMBB(X6,tc_fun(X6,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(X6,X53)),c_Groups_Ozero__class_Ozero(X6))))))), 137.98/137.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_degree__def)). 137.98/137.63 fof(f1343,plain,( 137.98/137.63 ! [X0,X1] : (class_Groups_Ozero(X1) => c_Polynomial_Odegree(X1,X0) = c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,X1,tc_HOL_Obool,hAPP(c_COMBB(X1,tc_fun(X1,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(X1,X0)),c_Groups_Ozero__class_Ozero(X1))))))), 137.98/137.63 inference(rectify,[],[f1180])). 137.98/137.63 fof(f1478,plain,( 137.98/137.63 ! [X0,X1,X2,X3] : (class_Rings_Ocomm__semiring__0(X3) => c_Polynomial_Osmult(X3,X2,c_Polynomial_Osmult(X3,X1,X0)) = c_Polynomial_Osmult(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),X0))), 137.98/137.63 inference(rectify,[],[f22])). 137.98/137.63 fof(f1484,plain,( 137.98/137.63 ! [X0,X1,X2] : (class_Rings_Oidom(X2) => ((c_Groups_Ozero__class_Ozero(X2) = X1 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0) <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X2,X1,X0)))), 137.98/137.63 inference(rectify,[],[f750])). 137.98/137.63 fof(f1485,plain,( 137.98/137.63 ! [X0,X1,X2] : (class_Rings_Oidom(X2) => ((c_Groups_Ozero__class_Ozero(X2) = X1 => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0))) & (c_Groups_Ozero__class_Ozero(X2) != X1 => c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0)))))), 137.98/137.63 inference(rectify,[],[f59])). 137.98/137.63 fof(f1486,plain,( 137.98/137.63 ! [X0,X1] : (class_Rings_Ocomm__semiring__1(X1) => c_Polynomial_Osmult(X1,c_Groups_Oone__class_Oone(X1),X0) = X0)), 137.98/137.63 inference(rectify,[],[f61])). 137.98/137.63 fof(f1487,plain,( 137.98/137.63 ! [X0,X1] : (class_Rings_Ocomm__semiring__0(X1) => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))), 137.98/137.63 inference(rectify,[],[f361])). 137.98/137.63 fof(f1488,plain,( 137.98/137.63 ! [X0,X1] : (class_Rings_Ocomm__semiring__0(X1) => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,c_Groups_Ozero__class_Ozero(X1),X0))), 137.98/137.63 inference(rectify,[],[f35])). 137.98/137.63 fof(f1492,plain,( 137.98/137.63 ! [X0,X1] : (class_Fields_Ofield(X1) => (c_Groups_Ozero__class_Ozero(X1) != X0 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X0)),X0) = c_Groups_Oone__class_Oone(X1)))), 137.98/137.63 inference(rectify,[],[f855])). 137.98/137.63 fof(f1884,plain,( 137.98/137.63 ! [X0,X1] : (class_Groups_Ozero(X1) => ((c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0 => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0)) & (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) != X0 => hAPP(c_Nat_OSuc,c_Polynomial_Odegree(X1,X0)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0))))), 137.98/137.63 inference(rectify,[],[f502])). 137.98/137.63 fof(f1886,plain,( 137.98/137.63 (((c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____) | (hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____)) & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)) | ((c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____) & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))), 137.98/137.63 inference(ennf_transformation,[],[f168])). 137.98/137.63 fof(f1887,plain,( 137.98/137.63 (((c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____) | (hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____)) & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)) | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____ & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))), 137.98/137.63 inference(flattening,[],[f1886])). 137.98/137.63 fof(f1967,plain,( 137.98/137.63 ! [X0,X1] : (c_Polynomial_Odegree(X1,X0) = c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,X1,tc_HOL_Obool,hAPP(c_COMBB(X1,tc_fun(X1,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(X1,X0)),c_Groups_Ozero__class_Ozero(X1))))) | ~class_Groups_Ozero(X1))), 137.98/137.63 inference(ennf_transformation,[],[f1343])). 137.98/137.63 fof(f2051,plain,( 137.98/137.63 ! [X0,X1,X2,X3] : (c_Polynomial_Osmult(X3,X2,c_Polynomial_Osmult(X3,X1,X0)) = c_Polynomial_Osmult(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),X0) | ~class_Rings_Ocomm__semiring__0(X3))), 137.98/137.63 inference(ennf_transformation,[],[f1478])). 137.98/137.63 fof(f2058,plain,( 137.98/137.63 ! [X0,X1,X2] : (((c_Groups_Ozero__class_Ozero(X2) = X1 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0) <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X2,X1,X0)) | ~class_Rings_Oidom(X2))), 137.98/137.63 inference(ennf_transformation,[],[f1484])). 137.98/137.63 fof(f2059,plain,( 137.98/137.63 ! [X0,X1,X2] : (((c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0)) | c_Groups_Ozero__class_Ozero(X2) != X1) & (c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0)) | c_Groups_Ozero__class_Ozero(X2) = X1)) | ~class_Rings_Oidom(X2))), 137.98/137.63 inference(ennf_transformation,[],[f1485])). 137.98/137.63 fof(f2060,plain,( 137.98/137.63 ! [X0,X1] : (c_Polynomial_Osmult(X1,c_Groups_Oone__class_Oone(X1),X0) = X0 | ~class_Rings_Ocomm__semiring__1(X1))), 137.98/137.63 inference(ennf_transformation,[],[f1486])). 137.98/137.63 fof(f2061,plain,( 137.98/137.63 ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) | ~class_Rings_Ocomm__semiring__0(X1))), 137.98/137.63 inference(ennf_transformation,[],[f1487])). 137.98/137.63 fof(f2062,plain,( 137.98/137.63 ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,c_Groups_Ozero__class_Ozero(X1),X0) | ~class_Rings_Ocomm__semiring__0(X1))), 137.98/137.63 inference(ennf_transformation,[],[f1488])). 137.98/137.63 fof(f2069,plain,( 137.98/137.63 ! [X0,X1] : ((hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X0)),X0) = c_Groups_Oone__class_Oone(X1) | c_Groups_Ozero__class_Ozero(X1) = X0) | ~class_Fields_Ofield(X1))), 137.98/137.63 inference(ennf_transformation,[],[f1492])). 137.98/137.63 fof(f2070,plain,( 137.98/137.63 ! [X0,X1] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X0)),X0) = c_Groups_Oone__class_Oone(X1) | c_Groups_Ozero__class_Ozero(X1) = X0 | ~class_Fields_Ofield(X1))), 137.98/137.63 inference(flattening,[],[f2069])). 137.98/137.63 fof(f2491,plain,( 137.98/137.63 ! [X0,X1] : (((c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) != X0) & (hAPP(c_Nat_OSuc,c_Polynomial_Odegree(X1,X0)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0)) | ~class_Groups_Ozero(X1))), 137.98/137.63 inference(ennf_transformation,[],[f1884])). 137.98/137.63 fof(f2611,plain,( 137.98/137.63 ! [X0,X1,X2] : ((((c_Groups_Ozero__class_Ozero(X2) = X1 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_Osmult(X2,X1,X0)) & (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X2,X1,X0) | (c_Groups_Ozero__class_Ozero(X2) != X1 & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0))) | ~class_Rings_Oidom(X2))), 137.98/137.63 inference(nnf_transformation,[],[f2058])). 137.98/137.63 fof(f2612,plain,( 137.98/137.63 ! [X0,X1,X2] : (((c_Groups_Ozero__class_Ozero(X2) = X1 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_Osmult(X2,X1,X0)) & (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X2,X1,X0) | (c_Groups_Ozero__class_Ozero(X2) != X1 & c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0))) | ~class_Rings_Oidom(X2))), 137.98/137.63 inference(flattening,[],[f2611])). 137.98/137.63 fof(f2803,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____), 137.98/137.63 inference(cnf_transformation,[],[f1887])). 137.98/137.63 fof(f2808,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____ | hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)), 137.98/137.63 inference(cnf_transformation,[],[f1887])). 137.98/137.63 fof(f2947,plain,( 137.98/137.63 ( ! [X0,X1] : (c_Polynomial_Odegree(X1,X0) = c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,X1,tc_HOL_Obool,hAPP(c_COMBB(X1,tc_fun(X1,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(X1,X0)),c_Groups_Ozero__class_Ozero(X1))))) | ~class_Groups_Ozero(X1)) )), 137.98/137.63 inference(cnf_transformation,[],[f1967])). 137.98/137.63 fof(f3160,plain,( 137.98/137.63 ( ! [X2,X0,X3,X1] : (c_Polynomial_Osmult(X3,X2,c_Polynomial_Osmult(X3,X1,X0)) = c_Polynomial_Osmult(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),X0) | ~class_Rings_Ocomm__semiring__0(X3)) )), 137.98/137.63 inference(cnf_transformation,[],[f2051])). 137.98/137.63 fof(f3167,plain,( 137.98/137.63 ( ! [X2,X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X2,X1,X0) | c_Groups_Ozero__class_Ozero(X2) != X1 | ~class_Rings_Oidom(X2)) )), 137.98/137.63 inference(cnf_transformation,[],[f2612])). 137.98/137.63 fof(f3168,plain,( 137.98/137.63 ( ! [X2,X0,X1] : (c_Groups_Ozero__class_Ozero(X2) = X1 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_Osmult(X2,X1,X0) | ~class_Rings_Oidom(X2)) )), 137.98/137.63 inference(cnf_transformation,[],[f2612])). 137.98/137.63 fof(f3169,plain,( 137.98/137.63 ( ! [X2,X0,X1] : (c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0)) | c_Groups_Ozero__class_Ozero(X2) = X1 | ~class_Rings_Oidom(X2)) )), 137.98/137.63 inference(cnf_transformation,[],[f2059])). 137.98/137.63 fof(f3171,plain,( 137.98/137.63 ( ! [X0,X1] : (c_Polynomial_Osmult(X1,c_Groups_Oone__class_Oone(X1),X0) = X0 | ~class_Rings_Ocomm__semiring__1(X1)) )), 137.98/137.63 inference(cnf_transformation,[],[f2060])). 137.98/137.63 fof(f3172,plain,( 137.98/137.63 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) | ~class_Rings_Ocomm__semiring__0(X1)) )), 137.98/137.63 inference(cnf_transformation,[],[f2061])). 137.98/137.63 fof(f3173,plain,( 137.98/137.63 ( ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,c_Groups_Ozero__class_Ozero(X1),X0) | ~class_Rings_Ocomm__semiring__0(X1)) )), 137.98/137.63 inference(cnf_transformation,[],[f2062])). 137.98/137.63 fof(f3177,plain,( 137.98/137.63 ( ! [X0,X1] : (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X0)),X0) = c_Groups_Oone__class_Oone(X1) | c_Groups_Ozero__class_Ozero(X1) = X0 | ~class_Fields_Ofield(X1)) )), 137.98/137.63 inference(cnf_transformation,[],[f2070])). 137.98/137.63 fof(f3191,plain,( 137.98/137.63 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), 137.98/137.63 inference(cnf_transformation,[],[f897])). 137.98/137.63 fof(f3192,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), 137.98/137.63 inference(cnf_transformation,[],[f781])). 137.98/137.63 fof(f3193,plain,( 137.98/137.63 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____)), 137.98/137.63 inference(cnf_transformation,[],[f975])). 137.98/137.63 fof(f3198,plain,( 137.98/137.63 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)), 137.98/137.63 inference(cnf_transformation,[],[f836])). 137.98/137.63 fof(f3199,plain,( 137.98/137.63 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)), 137.98/137.63 inference(cnf_transformation,[],[f808])). 137.98/137.63 fof(f3200,plain,( 137.98/137.63 class_Fields_Ofield(tc_Complex_Ocomplex)), 137.98/137.63 inference(cnf_transformation,[],[f242])). 137.98/137.63 fof(f3312,plain,( 137.98/137.63 class_Groups_Ozero(tc_Complex_Ocomplex)), 137.98/137.63 inference(cnf_transformation,[],[f937])). 137.98/137.63 fof(f3802,plain,( 137.98/137.63 class_Rings_Oidom(tc_Complex_Ocomplex)), 137.98/137.63 inference(cnf_transformation,[],[f1063])). 137.98/137.63 fof(f3857,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)), 137.98/137.63 inference(cnf_transformation,[],[f510])). 137.98/137.63 fof(f3863,plain,( 137.98/137.63 ( ! [X0,X1] : (hAPP(c_Nat_OSuc,c_Polynomial_Odegree(X1,X0)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0 | ~class_Groups_Ozero(X1)) )), 137.98/137.63 inference(cnf_transformation,[],[f2491])). 137.98/137.63 fof(f3925,plain,( 137.98/137.63 ( ! [X2,X0] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X2,c_Groups_Ozero__class_Ozero(X2),X0) | ~class_Rings_Oidom(X2)) )), 137.98/137.63 inference(equality_resolution,[],[f3167])). 137.98/137.63 fof(f4028,plain,( 137.98/137.63 hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____ | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)), 137.98/137.63 inference(forward_demodulation,[],[f2808,f3191])). 137.98/137.63 fof(f4029,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____) | hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____), 137.98/137.63 inference(forward_demodulation,[],[f4028,f3191])). 137.98/137.63 fof(f4031,plain,( 137.98/137.63 spl71_1 <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____), 137.98/137.63 introduced(avatar_definition,[new_symbols(naming,[spl71_1])])). 137.98/137.63 fof(f4032,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____ | ~spl71_1), 137.98/137.63 inference(avatar_component_clause,[],[f4031])). 137.98/137.63 fof(f4034,plain,( 137.98/137.63 spl71_0 <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____), 137.98/137.63 introduced(avatar_definition,[new_symbols(naming,[spl71_0])])). 137.98/137.63 fof(f4035,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____ | ~spl71_0), 137.98/137.63 inference(avatar_component_clause,[],[f4034])). 137.98/137.63 fof(f4040,plain,( 137.98/137.63 spl71_3 <=> hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))), 137.98/137.63 introduced(avatar_definition,[new_symbols(naming,[spl71_3])])). 137.98/137.63 fof(f4041,plain,( 137.98/137.63 hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) | ~spl71_3), 137.98/137.63 inference(avatar_component_clause,[],[f4040])). 137.98/137.63 fof(f4043,plain,( 137.98/137.63 spl71_5 <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)), 137.98/137.63 introduced(avatar_definition,[new_symbols(naming,[spl71_5])])). 137.98/137.63 fof(f4044,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____) | ~spl71_5), 137.98/137.63 inference(avatar_component_clause,[],[f4043])). 137.98/137.63 fof(f4046,plain,( 137.98/137.63 spl71_4 <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)), 137.98/137.63 introduced(avatar_definition,[new_symbols(naming,[spl71_4])])). 137.98/137.63 fof(f4047,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____) | ~spl71_4), 137.98/137.63 inference(avatar_component_clause,[],[f4046])). 137.98/137.63 fof(f4048,plain,( 137.98/137.63 spl71_0 | ~spl71_3 | spl71_4), 137.98/137.63 inference(avatar_split_clause,[],[f4029,f4046,f4040,f4034])). 137.98/137.63 fof(f4049,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____), 137.98/137.63 inference(forward_demodulation,[],[f2803,f3191])). 137.98/137.63 fof(f4050,plain,( 137.98/137.63 ~spl71_1 | ~spl71_5), 137.98/137.63 inference(avatar_split_clause,[],[f4049,f4043,f4031])). 137.98/137.63 fof(f4810,plain,( 137.98/137.63 spl71_119 <=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))), 137.98/137.63 introduced(avatar_definition,[new_symbols(naming,[spl71_119])])). 137.98/137.63 fof(f4811,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) | ~spl71_119), 137.98/137.63 inference(avatar_component_clause,[],[f4810])). 137.98/137.63 fof(f4813,plain,( 137.98/137.63 spl71_118 <=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))), 137.98/137.63 introduced(avatar_definition,[new_symbols(naming,[spl71_118])])). 137.98/137.63 fof(f4814,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) | ~spl71_118), 137.98/137.63 inference(avatar_component_clause,[],[f4813])). 137.98/137.63 fof(f4939,plain,( 137.98/137.63 hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) | ~class_Groups_Ozero(tc_Complex_Ocomplex) | ~spl71_3), 137.98/137.63 inference(superposition,[],[f4041,f2947])). 137.98/137.63 fof(f4962,plain,( 137.98/137.63 hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) | ~spl71_3), 137.98/137.63 inference(subsumption_resolution,[],[f4939,f3312])). 137.98/137.63 fof(f6805,plain,( 137.98/137.63 ( ! [X9] : (c_Polynomial_Osmult(tc_Complex_Ocomplex,X9,v_q____) = v_q____ | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)) ) | ~spl71_0), 137.98/137.63 inference(superposition,[],[f3172,f4035])). 137.98/137.63 fof(f6937,plain,( 137.98/137.63 ( ! [X9] : (c_Polynomial_Osmult(tc_Complex_Ocomplex,X9,v_q____) = v_q____) ) | ~spl71_0), 137.98/137.63 inference(subsumption_resolution,[],[f6805,f3199])). 137.98/137.63 fof(f7003,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_q____ | (~spl71_0 | ~spl71_5)), 137.98/137.63 inference(superposition,[],[f4044,f6937])). 137.98/137.63 fof(f7026,plain,( 137.98/137.63 $false | (~spl71_0 | ~spl71_5)), 137.98/137.63 inference(subsumption_resolution,[],[f7003,f4035])). 137.98/137.63 fof(f7027,plain,( 137.98/137.63 ~spl71_0 | spl71_5), 137.98/137.63 inference(avatar_contradiction_clause,[],[f7026])). 137.98/137.63 fof(f7060,plain,( 137.98/137.63 ( ! [X4,X5] : (v_q____ != X4 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,X5,X4) | ~class_Rings_Oidom(tc_Complex_Ocomplex)) ) | ~spl71_1), 137.98/137.63 inference(superposition,[],[f4032,f3168])). 137.98/137.63 fof(f7070,plain,( 137.98/137.63 ( ! [X30] : (v_q____ != X30 | hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,X30)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X30) | ~class_Groups_Ozero(tc_Complex_Ocomplex)) ) | ~spl71_1), 137.98/137.63 inference(superposition,[],[f4032,f3863])). 137.98/137.63 fof(f7099,plain,( 137.98/137.63 ( ! [X4,X5] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,X5,X4) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X5 | v_q____ != X4) ) | ~spl71_1), 137.98/137.63 inference(subsumption_resolution,[],[f7060,f3802])). 137.98/137.63 fof(f7109,plain,( 137.98/137.63 ( ! [X30] : (v_q____ != X30 | hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,X30)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X30)) ) | ~spl71_1), 137.98/137.63 inference(subsumption_resolution,[],[f7070,f3312])). 137.98/137.63 fof(f10040,plain,( 137.98/137.63 hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_q____)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) | ~spl71_1), 137.98/137.63 inference(equality_resolution,[],[f7109])). 137.98/137.63 fof(f10041,plain,( 137.98/137.63 hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_q____)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) | ~spl71_1), 137.98/137.63 inference(forward_demodulation,[],[f10040,f3193])). 137.98/137.63 fof(f11356,plain,( 137.98/137.63 ( ! [X14,X15,X13] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,X13,c_Polynomial_Osmult(tc_Complex_Ocomplex,X14,X15)) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X13),X14) | v_q____ != X15 | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)) ) | ~spl71_1), 137.98/137.63 inference(superposition,[],[f7099,f3160])). 137.98/137.63 fof(f11363,plain,( 137.98/137.63 ( ! [X14,X15,X13] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,X13,c_Polynomial_Osmult(tc_Complex_Ocomplex,X14,X15)) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X13),X14) | v_q____ != X15) ) | ~spl71_1), 137.98/137.63 inference(subsumption_resolution,[],[f11356,f3199])). 137.98/137.63 fof(f11366,plain,( 137.98/137.63 spl71_583 <=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)), 137.98/137.63 introduced(avatar_definition,[new_symbols(naming,[spl71_583])])). 137.98/137.63 fof(f11367,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) | ~spl71_583), 137.98/137.63 inference(avatar_component_clause,[],[f11366])). 137.98/137.63 fof(f11369,plain,( 137.98/137.63 spl71_582 <=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)), 137.98/137.63 introduced(avatar_definition,[new_symbols(naming,[spl71_582])])). 137.98/137.63 fof(f11370,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) | ~spl71_582), 137.98/137.63 inference(avatar_component_clause,[],[f11369])). 137.98/137.63 fof(f11376,plain,( 137.98/137.63 ( ! [X2] : (c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X2) = X2 | ~class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)) ) | ~spl71_582), 137.98/137.63 inference(superposition,[],[f3171,f11370])). 137.98/137.63 fof(f11385,plain,( 137.98/137.63 ( ! [X2] : (c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X2) = X2) ) | ~spl71_582), 137.98/137.63 inference(subsumption_resolution,[],[f11376,f3198])). 137.98/137.63 fof(f11415,plain,( 137.98/137.63 ( ! [X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1 | ~class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)) ) | ~spl71_582), 137.98/137.63 inference(superposition,[],[f11385,f3173])). 137.98/137.63 fof(f11454,plain,( 137.98/137.63 ( ! [X1] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1) ) | ~spl71_582), 137.98/137.63 inference(subsumption_resolution,[],[f11415,f3199])). 137.98/137.63 fof(f11487,plain,( 137.98/137.63 ( ! [X0,X1] : (X0 = X1) ) | ~spl71_582), 137.98/137.63 inference(superposition,[],[f11454,f11454])). 137.98/137.63 fof(f16975,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) | ~spl71_582), 137.98/137.63 inference(superposition,[],[f3192,f11454])). 137.98/137.63 fof(f19404,plain,( 137.98/137.63 $false | ~spl71_582), 137.98/137.63 inference(subsumption_resolution,[],[f16975,f11487])). 137.98/137.63 fof(f19405,plain,( 137.98/137.63 ~spl71_582), 137.98/137.63 inference(avatar_contradiction_clause,[],[f19404])). 137.98/137.63 fof(f36404,plain,( 137.98/137.63 hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_q____)) != hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))) | ~class_Groups_Ozero(tc_Complex_Ocomplex) | ~spl71_3), 137.98/137.63 inference(superposition,[],[f4962,f2947])). 137.98/137.63 fof(f36427,plain,( 137.98/137.63 hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_q____)) != hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))) | ~spl71_3), 137.98/137.63 inference(subsumption_resolution,[],[f36404,f3312])). 137.98/137.63 fof(f36428,plain,( 137.98/137.63 hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) | (~spl71_1 | ~spl71_3)), 137.98/137.63 inference(forward_demodulation,[],[f36427,f10041])). 137.98/137.63 fof(f81980,plain,( 137.98/137.63 spl71_1800 <=> ! [X0] : v_q____ != X0), 137.98/137.63 introduced(avatar_definition,[new_symbols(naming,[spl71_1800])])). 137.98/137.63 fof(f81981,plain,( 137.98/137.63 ( ! [X0] : (v_q____ != X0) ) | ~spl71_1800), 137.98/137.63 inference(avatar_component_clause,[],[f81980])). 137.98/137.63 fof(f81995,plain,( 137.98/137.63 $false | ~spl71_1800), 137.98/137.63 inference(equality_resolution,[],[f81981])). 137.98/137.63 fof(f81996,plain,( 137.98/137.63 ~spl71_1800), 137.98/137.63 inference(avatar_contradiction_clause,[],[f81995])). 137.98/137.63 fof(f105466,plain,( 137.98/137.63 hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_q____)) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) | ~class_Rings_Oidom(tc_Complex_Ocomplex) | (~spl71_1 | ~spl71_3)), 137.98/137.63 inference(superposition,[],[f36428,f3169])). 137.98/137.63 fof(f105473,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) | ~class_Rings_Oidom(tc_Complex_Ocomplex) | (~spl71_1 | ~spl71_3)), 137.98/137.63 inference(subsumption_resolution,[],[f105466,f10041])). 137.98/137.63 fof(f105474,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) | (~spl71_1 | ~spl71_3)), 137.98/137.63 inference(subsumption_resolution,[],[f105473,f3802])). 137.98/137.63 fof(f125945,plain,( 137.98/137.63 ( ! [X2,X3] : (c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),X2) | v_q____ != X3 | ~class_Rings_Oidom(tc_Complex_Ocomplex)) ) | ~spl71_1), 137.98/137.63 inference(superposition,[],[f11363,f3925])). 137.98/137.63 fof(f125948,plain,( 137.98/137.63 ( ! [X2,X3] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),X2) | v_q____ != X3 | ~class_Rings_Oidom(tc_Complex_Ocomplex)) ) | ~spl71_1), 137.98/137.63 inference(trivial_inequality_removal,[],[f125945])). 137.98/137.63 fof(f125966,plain,( 137.98/137.63 spl71_2236 <=> ! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),X0)), 137.98/137.63 introduced(avatar_definition,[new_symbols(naming,[spl71_2236])])). 137.98/137.63 fof(f125967,plain,( 137.98/137.63 ( ! [X0] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),X0)) ) | ~spl71_2236), 137.98/137.63 inference(avatar_component_clause,[],[f125966])). 137.98/137.63 fof(f125969,plain,( 137.98/137.63 ( ! [X2,X3] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),X2) | v_q____ != X3) ) | ~spl71_1), 137.98/137.63 inference(subsumption_resolution,[],[f125948,f3802])). 137.98/137.63 fof(f125970,plain,( 137.98/137.63 spl71_1800 | spl71_2236 | spl71_1), 137.98/137.63 inference(avatar_split_clause,[],[f125969,f4031,f125966,f81980])). 137.98/137.63 fof(f126813,plain,( 137.98/137.63 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) | ~class_Fields_Ofield(tc_Complex_Ocomplex) | (~spl71_1 | ~spl71_3)), 137.98/137.63 inference(superposition,[],[f3177,f105474])). 137.98/137.63 fof(f126814,plain,( 137.98/137.63 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) | ~class_Fields_Ofield(tc_Complex_Ocomplex) | (~spl71_1 | ~spl71_3)), 137.98/137.63 inference(subsumption_resolution,[],[f126813,f3857])). 137.98/137.63 fof(f126815,plain,( 137.98/137.63 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) | (~spl71_1 | ~spl71_3)), 137.98/137.63 inference(subsumption_resolution,[],[f126814,f3200])). 137.98/137.63 fof(f126816,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) | (~spl71_1 | ~spl71_3 | ~spl71_2236)), 137.98/137.63 inference(forward_demodulation,[],[f126815,f125967])). 137.98/137.63 fof(f126817,plain,( 137.98/137.63 $false | (~spl71_1 | ~spl71_3 | ~spl71_583 | ~spl71_2236)), 137.98/137.63 inference(subsumption_resolution,[],[f126816,f11367])). 137.98/137.63 fof(f126818,plain,( 137.98/137.63 spl71_1 | spl71_3 | spl71_583 | ~spl71_2236), 137.98/137.63 inference(avatar_contradiction_clause,[],[f126817])). 137.98/137.63 fof(f126967,plain,( 137.98/137.63 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) | ~class_Fields_Ofield(tc_Complex_Ocomplex) | ~spl71_118), 137.98/137.63 inference(superposition,[],[f3177,f4814])). 137.98/137.63 fof(f126971,plain,( 137.98/137.63 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) | ~class_Fields_Ofield(tc_Complex_Ocomplex) | ~spl71_118), 137.98/137.63 inference(subsumption_resolution,[],[f126967,f3857])). 137.98/137.63 fof(f126972,plain,( 137.98/137.63 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) | ~spl71_118), 137.98/137.63 inference(subsumption_resolution,[],[f126971,f3200])). 137.98/137.63 fof(f126973,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) | (~spl71_118 | ~spl71_2236)), 137.98/137.63 inference(forward_demodulation,[],[f126972,f125967])). 137.98/137.63 fof(f126974,plain,( 137.98/137.63 $false | (~spl71_118 | ~spl71_583 | ~spl71_2236)), 137.98/137.63 inference(subsumption_resolution,[],[f126973,f11367])). 137.98/137.63 fof(f126975,plain,( 137.98/137.63 ~spl71_118 | spl71_583 | ~spl71_2236), 137.98/137.63 inference(avatar_contradiction_clause,[],[f126974])). 137.98/137.63 fof(f127021,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____ | ~class_Rings_Oidom(tc_Complex_Ocomplex) | ~spl71_4), 137.98/137.63 inference(superposition,[],[f3168,f4047])). 137.98/137.63 fof(f127023,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____ | ~class_Rings_Oidom(tc_Complex_Ocomplex) | ~spl71_4), 137.98/137.63 inference(trivial_inequality_removal,[],[f127021])). 137.98/137.63 fof(f127061,plain,( 137.98/137.63 c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q____ | ~class_Rings_Oidom(tc_Complex_Ocomplex) | (~spl71_4 | ~spl71_119)), 137.98/137.63 inference(subsumption_resolution,[],[f127023,f4811])). 137.98/137.63 fof(f127062,plain,( 137.98/137.63 ~class_Rings_Oidom(tc_Complex_Ocomplex) | (~spl71_1 | ~spl71_4 | ~spl71_119)), 137.98/137.63 inference(subsumption_resolution,[],[f127061,f4032])). 137.98/137.63 fof(f127063,plain,( 137.98/137.63 $false | (~spl71_1 | ~spl71_4 | ~spl71_119)), 137.98/137.63 inference(subsumption_resolution,[],[f127062,f3802])). 137.98/137.63 fof(f127064,plain,( 137.98/137.63 spl71_1 | ~spl71_4 | spl71_119), 137.98/137.63 inference(avatar_contradiction_clause,[],[f127063])). 137.98/137.63 fof(f127068,plain,( 137.98/137.63 $false), 137.98/137.63 inference(avatar_sat_refutation,[],[f4048,f4050,f7027,f19405,f81996,f125970,f126818,f126975,f127064])). 137.98/137.63 % SZS output end Proof for theBenchmark 137.98/137.63 % ------------------------------ 137.98/137.63 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 137.98/137.63 % Termination reason: Refutation 137.98/137.63 137.98/137.63 % Memory used [KB]: 83282 137.98/137.63 % Time elapsed: 6.796 s 137.98/137.63 % ------------------------------ 137.98/137.63 % ------------------------------ 137.98/137.64 % Success in time 137.402 s 137.98/137.64 EOF